Adam spends $800 of his income and saves the rest.
When he increases his savings by 40%, his spending decreases by 20%
- How much is Adam's spending at first?
- How much is Adam's spending in the end?
- How much is Adam's income?
|
Savings |
Spending |
Before |
100% |
100 u |
Change |
+ 40% |
- 20 u |
After |
140% |
80 u |
(a)
40% of Adam's savings = 20% of Adam's spending
100% of Adam's savings = $800
1% of Adam's savings = 800 ÷ 100 = $8
40% of Adam's savings = 40 x 8 = $320
20 u of Adam's spending = $320
1 u of Adam's spending = 320 ÷ 20 = $16
100 u of Adam's spending = 100 x 16 = $1600
Amount of Adam's spending at first
= 100 u
= $1600
(b)
Amount of spending in the end
= 80 u
= 80 x 16
= $1280
(c)
Adam's income
= 100% + 100 u
= 800 + 1600
= $2400
Answer(s): (a) $1600; (b) $1280; (c) $2400